/*$************************************************************************************************ ** ** $Id$ ** ** $Source: /cvs/ctree/LiteGO1/src/jar/com/polexis/lite/spatialschema/geometry/geometry/GenericSurfaceImpl.java,v $ ** ** Copyright (C) 2003 Open GIS Consortium, Inc. All Rights Reserved. http://www.opengis.org/Legal/ ** *************************************************************************************************/ package org.geotoolkit.geometry.isoonjts.spatialschema.geometry.geometry; import org.geotoolkit.geometry.isoonjts.spatialschema.geometry.AbstractJTSGeometry; import org.opengis.geometry.DirectPosition; import org.opengis.geometry.coordinate.GenericSurface; /** * Common interface for {@linkplain org.opengis.geometry.primitive.Surface surface} and * {@linkplain org.opengis.geometry.primitive.SurfacePatch surface patch}. {@code Surface} * and {@code SurfacePatch} represent sections of surface geometry, * and therefore share a number of operation signatures. * * @author ISO/DIS 19107 * @author <A HREF="http://www.opengis.org">OpenGIS® consortium</A> * @version 2.0 * * @todo Why this interface is not defined in the primitive package, since the sub-interfaces * ({@link org.opengis.geometry.primitive.Surface} and {@link org.opengis.geometry.primitive.SurfacePatch}) * belong to that package? * @module */ public abstract class AbstractJTSGenericSurface extends AbstractJTSGeometry implements GenericSurface { /** * Returns a vector perpendicular to the {@code GenericSurface} at the * {@linkplain DirectPosition direct position} passed, which must be on this * {@code GenericSurface}. The upward normal always points upward in a * manner consistent with the boundary. This means that the exterior boundary * of the surface is counterclockwise when viewed from the side of the surface * indicated by the {@code upNormal}. Interior boundaries are clockwise. * The side of the surface indicated by the {@code upNormal} is referred * to as the "top." The function "upNormal" shall be continuous and the length * of the normal shall always be equal to 1.0. * * <blockquote><font size=2> * <strong>NOTE:</strong> The upNormal along a boundary of a solid always points away from the * solid. This is a slight semantics problem in dealing with voids within solids, where the * upNormal (for sake of mathematical consistency) points into the center of the voided region, * which linguistically can be considered the interior of the void. What the confusion is here * is that the basic linguistic metaphors used in most languages for "interior of solid" and * for "interior of container" use "inward" in inconsistent manners from a topological point * of view. The void "in" rock is not inside the rock in the same manner as the solid material * that makes up the substance of the rock. Nor is the coffee "in" the cup the same "in" as * the ceramic glass "in" the cup. The use of these culturally derived metaphors may not be * consistent across all languages, some of which may use different prepositions for these two * different concepts. This specification uses the linguistically neutral concept of "interior" * derived from mathematics (topology). * </font></blockquote> * * @param point The point on this {@code GenericSurface} where to compute the upNormal. * @return The upNormal unit vector. */ @Override public abstract double[] getUpNormal(DirectPosition point); /** * Returns the sum of the lengths of all the boundary components of this * {@code GenericSurface}. Since perimeter, like length, is an accumulation * (integral) of distance, its return value shall be in a reference system appropriate * for measuring distances. * * <blockquote><font size=2> * <strong>NOTE:</strong> The perimeter is defined as the sum of the lengths of all boundary * components. The length of a curve or of a collection of curves is always positive and * non-zero (unless the curve is pathological). This means that holes in surfaces will * contribute positively to the total perimeter. * </font></blockquote> * * @return The perimeter. */ @Override public abstract double getPerimeter(); /** * Returns the area of this {@code GenericSurface}. The area of a 2-dimensional geometric * object shall be a numeric measure of its surface area (in a square unit of distance). Since * area is an accumulation (integral) of the product of two distances, its return value shall * be in a unit of measure appropriate for measuring distances squared, such as meters squared * (m<sup>2</sup>). * * <blockquote><font size=2> * <strong>NOTE:</strong> Consistent with the definition of surface as a set of * {@linkplain DirectPosition direct positions}, holes in the surfaces will not contribute to * the total area. If the usual Green's Theorem (or more general Stokes' Theorem) integral is * used, the integral around the holes in the surface are subtracted from the integral * about the exterior of the surface patch. * </font></blockquote> * * @return The area. * * @todo In UML diagram, the return type is {@code Area}. */ @Override public abstract double getArea(); @Override public String toString() { return '[' + this.getClass().getName() + ']'; } }